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3 years ago

How do u find the domain to the first one

Mathematics

1 answer:

Kay [80]3 years ago

5 0

Answer:

The domain is (-infinity, -3) ∪ (-3, 3) ∪ (3, infinity)

Step-by-step explanation:

This function is defined for all t such that the denominatory t^2 - 9 is not zero (0). Purposely setting t^2 - 9 = 0, we find that t = 3 or t = -3.

This function defined everywhere except at {-3, 3}.

The domain is (-infinity, -3) ∪ (-3, 3) ∪ (3, infinity)

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Step-by-step explanation:

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3 years ago

A triangle has side lengths 2.83 m, 4 m, and 2.24 m. The angles measures are 45°, 63°, and 72°.

vagabundo [1.1K]

Answer:

D) acute scalene

Step-by-step explanation:

<h3>What are the definitions?</h3>

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Isosceles triangle - the triangle with a pair of equal sides;
Scalene triangle - the triangle with all three sides (or angles) of different measure.

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2 years ago

A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res

AveGali [126]

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 15 \ months$

The sample size is n = 25

The sample mean is $\= x = 17 \ months$

The standard deviation is $s = 5.5 \ months$

Let assume the level of significance of this test is $\alpha = 0.05$

The null hypothesis is $H_o : \mu = 15$

The alternative hypothesis is $H_a : \mu > 17$

Generally the degree of freedom is mathematically represented as

$df = n -1$

=> $df = 25 -1$

=> $df = 24$

Generally the test statistics is mathematically represented as

$t = \frac{\= x- \mu }{\frac{s}{\sqrt{n} } }$

=> $t = \frac{ 17 - 15 }{\frac{5.5}{\sqrt{25} } }$

=> $t = 1.8182$

Generally from the student t distribution table the probability of obtaining $t = 1.8182$ to the right of the curve at a degree of freedom of $df = 24$ is

$p-value = P(t > 0.18182 ) = 0.4286$

From the value obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.

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2 years ago